Question

A wristwatch is sold at a loss of 18%. Had it been sold for 69 more, the gain would
have been 5%. Find the CP if the retailer selles 150 watches per day. Find his loss per
day.​

Answer 1

Given :

A wristwatch is sold at a loss of 18% . Had it been sold for Rs. 69 more ,

The gain would have been 5%

To find:-

Find the cp of the retailer sellers 150 watches per day .

Find his loss per day.

Solution :-

✩ let the cp ( cost price ) of a watch = x

✩ loss on each watch = 18%

✩ selling price ( sp) of the wristwatch = x(100-18)/100

✩ 82x/100 --------------- ( 1 )

Gain would have been 5%

when sp would be have been = x(100+5)/100

=> 105x/100 ----------------- (2)

Now subtract equation (1) from (2)

❁ 105x/100 - 82x/100 = 69

❁ 23x/100 = 300 Rs

Loss = 18% × 300 = 0.18 × 300

=> Loss = 54 Rs

Selling price = 300 - 54 = 246

✪ Since , the loss on one wristwatch = 54 Rs

✪ loss on 150 watch = 54×150 = 8,100 Rs

✯ Answer : hence, the cost price is Rs. 300 and loss per day would be Rs. 8,100 ✔︎✔︎✔︎

Answer 2

☯GIVEN

• A wristwatch is sold at a loss of 18%.
• been sold for 69 more
• the gain would have been 5%.

☯NEED TO FIND

• CP if the retailer selles 150 watches per day.
• Find his loss per day.

☯SOLUTION

Let the cost price of a wristwatch = X

Loss on each watch = 18%

Selling price of the wristwatch=

$\frac{x(100 - 18)}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{82x}{100}$

__________________(1)

Gain would have been = 5%

When selling price would have been=

$\frac{x(100 + 5)}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{105x}{100}$

___________________(2)

Now subtract equation (1) from equation (2)

$\frac{105x }{100} - \frac{82x}{100} = 69 \\ \\ </p><p> \frac{23x}{100} = 69 \\ \\ </p><p>x= \frac{69 \times 100 }{23} \\ x = 300 \: Rs.$

Loss = 18% x 300

= 0.18 x 300

=54 Rs.

Selling price = 300 - 54 = 246

Since loss on one wrist watch = 54 Rs.

Loss on 150 watch = 54 x 150 = 8,100 Rs.

• Cost price is 300
• Loss per day would be 8,100.